Download PDF by V Dotsenko: An introduction to the theory of spin glasses and neural

By V Dotsenko

ISBN-10: 9810218737

ISBN-13: 9789810218737

Goals to explain in basic terms the hot quarter of statistical mechanics often called spin-glasses, encompassing structures within which quenched illness is the dominant issue.

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Extra resources for An introduction to the theory of spin glasses and neural networks

Sample text

Rather than only two waves C1 and C2), having frequencies o þ nDo (where n ¼ 1, 2, 3, 4, . ), then the string of wave packets shown in Fig. 1 reduces to one wave packet only. The electron is then represented as a particle. This is shown in Fig. 3, in which a number of C-waves have been superimposed on each other, as just outlined. It is evident from Fig. 3 that a superposition of, say, 300 C-waves yields essentially one wave packet only. Different velocities need to be distinguished: (a) The velocity of the matter wave is called the wave velocity or “phase velocity”, v.

2. 8)). 6) provides E¼À 2 In most cases we shall denote the rest mass by m instead of m0. 17 3. 8) It should be noted here that quantum mechanical equations can be obtained from classical equations by applying differential operators to the wave function C (Hamiltonian operators). 8). 3. Special Properties of Vibrational Problems The solution to an equation for a vibration is determined, except for certain constants. 2, only certain vibrational forms are possible when boundary conditions are imposed.

We consider an electron wave that propagates in a lattice at an angle y to a set of parallel lattice planes (Fig. 10). The corresponding rays are diffracted on the lattice atoms. At a certain angle of incidence, constructive interference between rays 10 and 20 occurs. 9. Overlapping of allowed energy bands.

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An introduction to the theory of spin glasses and neural networks by V Dotsenko

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